Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality-Reference-Cited by-同舟云学术

Charge conjugation approach to scattering for the Hartree type Dirac equations with chirality

Published:2023-02-01 Issue:2 Volume:64 Page:
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:

Author:

Cho Yonggeun¹^ORCID,Hong Seokchang²^ORCID,Ozawa Tohru³^ORCID

Affiliation:

1. Department of Mathematics, and Institute of Pure and Applied Mathematics, Jeonbuk National University 1 , Jeonju 54896, Republic of Korea

2. Department of Mathematics, Chung-Ang University 2 , Seoul 06974, Republic of Korea

3. Department of Applied Physics, Waseda University 3 , 3-4-1, Okubo, Shinjuku-ku, Tokyo 169-8555, Japan

Abstract

We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential derived from the pseudoscalar field. We establish scattering for large data but with a relatively small part of the initial data associated with charge conjugation by exploiting the null structure induced by the chiral operator.

Funder

National Research Foundation of Korea

Jeonbuk National University

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0118132/16723947/021508_1_online.pdf

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